Limit laws for intermittent sequential and random dynamical systems
Ergodic Theory and Dynamical Systems Seminar
18th June 2020, 2:00 pm – 3:00 pm
We consider sequential and random compositions of a family of intermittent maps (Liverani-Saussol-Vaienti) and prove that they satisfy large deviations bounds. We address the need for random centering in such bounds. We also improve previous results of Nicol-Török-Vaienti on a central limit theorem for this class of systems and prove that centering is generically needed to obtain almost sure CLTs. Joint work with Matt Nicol and Andrew Torok.